Sentence examples for within the basis from inspiring English sources

end{aligned} (28)A weight function are chosen within the basis function with the concepts of inner product and orthogonality begin{aligned} leftlangle U,R rightrangle = int _{a}^{b}U_{i}(x){D[U_{0}(X)+ sum _{i=1}^{n}C_{i}U_{i}(x)]}mathrm{{d}}x=0.

For parameter values where the trajectory remains below the stable manifold (within the basis of attraction of the baseline node), the system ultimately returns to that attractor state.

As long as the sweep handles events with an x-position within the basis of a semi-square X, X is said to be active.

Ranking officers were to be promoted from within, on the basis of merit.

The commitment to do what is right must come from within on the basis of respect for others as ends in themselves (Dilthey 1965, 102).

Process Aware Information Systems manage processes within organisations on the basis of business process models.

Each such system can be regarded as being centered within itself on the basis of some function, whether it be economic, political, cultural or religious.

The main objective of this paper is to test the capability of the Maxwell-Stefan theory for predicting the diffusion behaviour of multicomponent mixtures within micropores on the basis of the diffusion behaviour of single components.

This scenario, whereby multiple gene trees consistently resolve the phylogeny between but not within species, is the basis for the Phylogenetic Concordance Species Concept advocated by Taylor et al. [34].

It is possible to sort loops and parameters within loops on the basis of the results of a regression model.

Xu and Cote [ 43], for example, identified 10 groups within Bacillaceae on the basis of 16S-23S intranscribedspacerd sequencesquencesequences